Math quiz
Quiz 2 (take home)
Show all your work to receive credits.
Problem 1: A rectangular plate 3 ft wide and 6 ft long is submerged vertically in oil with its width (short side) parallel to the surface. The distance from the surface of the oil to the center of the plate is 5 ft.If the oil weighs
3
50/
lbft
, find the force exerted by the oil on one side of the plate.Problem 2: (a) Use the Midpoint Rule and (b) the Simpson Rule to approximate the following definite integral with n = 8 :
2
2
0
1
4
dx
x
+
ò